[latex]x^2+x+cfrac{1}{4}=0[/latex] [latex]4x^2+4x+1=0[/latex] [latex](2x+1)^2=0[/latex] [latex]2x+1=0[/latex] [latex]x=-cfrac{1}{2}[/latex] [latex]x^2-cfrac{1}{3}x+cfrac{1}{36}=0[/latex] [latex]36x^2-12x+1=0[/latex] [latex](6x-1)^2=0[/latex] [latex]6x-1=0[/latex] [latex]x=cfrac{1}{6}[/latex] [latex]9x^2-12x+4=0[/latex] [latex](3x-2)^2=0[/latex] [latex]3x-2=0[/latex] [latex]x=cfrac{2}{3}[/latex] [latex]cfrac{9}{4}x^2+3x+1=0[/latex] [latex]9x^2+12x+4=0[/latex] [latex](3x+2)^2=0[/latex] [latex]3x+2=0[/latex] [latex]x=-cfrac{2}{3}[/latex] [latex]x^2-2sqrt{2}x+2=0[/latex] [latex](x-sqrt{2})^2=0[/latex] [latex]x-sqrt{2}=0[/latex] [latex]x=sqrt{2}[/latex] [latex]2x^2+2sqrt{6}x+3=0[/latex] [latex](sqrt{2}x+sqrt{3})^2=0[/latex] [latex]sqrt{2}x+sqrt{3}=0[/latex] [latex]x=-cfrac{sqrt{3}}{sqrt{2}}[/latex] [latex]x=-cfrac{sqrt{6}}{2}[/latex] [latex]3x^2+x=0[/latex] [latex]x(3x+1)=0[/latex] [latex]x=0qquadlorqquad3x+1=0[/latex] [latex]x=0qquadlorqquad{x=-cfrac{1}{3}}[/latex] [latex]x^2+6x=0[/latex] [latex]x(x+6)=0[/latex] [latex]x=0qquadlorqquad{x=-6}[/latex] [latex]8x^2-2x=0[/latex] [latex]2x(4x-1)=0[/latex] [latex]2x=0qquadlorqquad4x-1=0[/latex] [latex]x=0qquadlorqquad{x=cfrac{1}{4}}[/latex] [latex]6x^2-9x=0[/latex] [latex]3x(2x-3)=0[/latex] [latex]3x=0qquadlorqquad2x-3=0[/latex] [latex]x=0qquadlorqquad{x=cfrac{3}{2}}[/latex] [latex]cfrac{1}{3}x^2-cfrac{1}{9}x=0[/latex] [latex]cfrac{1}{9}x(3x-1)=0[/latex] [latex]cfrac{1}{9}x=0qquadlorqquad3x-1=0[/latex] [latex]x=0qquadlorqquad{x=cfrac{1}{3}}[/latex] [latex]cfrac{3}{4}x^2+cfrac{1}{8}x=0[/latex] [latex]cfrac{1}{8}x(6x+1)=0[/latex] [latex]x=0qquadlorqquad{x=-cfrac{1}{6}}[/latex]
